2113937699328 has 1920 divisors, whose sum is σ = 8487936737280. Its totient is φ = 509528309760.

The previous prime is 2113937699311. The next prime is 2113937699333. The reversal of 2113937699328 is 8239967393112.

2113937699328 is a `hidden beast` number, since 21 + 139 + 3 + 76 + 99 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6668573026 + ... + 6668573342.

It is an arithmetic number, because the mean of its divisors is an integer number (4420800384).

Almost surely, 2^{2113937699328} is an apocalyptic number.

2113937699328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113937699328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4243968368640).

2113937699328 is an abundant number, since it is smaller than the sum of its proper divisors (6373999037952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2113937699328 is a wasteful number, since it uses less digits than its factorization.

2113937699328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 392 counting only the distinct ones).

The product of its digits is 26453952, while the sum is 63.

The spelling of 2113937699328 in words is "two trillion, one hundred thirteen billion, nine hundred thirty-seven million, six hundred ninety-nine thousand, three hundred twenty-eight".